PLATO ANSWER: Pi (π)
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To find the circumference of a circle, you can use the formula C=2πr, where C is the circumference, π is a constant that is approximately equal to 3.14, and r is the radius. Plugging in the given value of r=6 yards, we get:
C=2×3.14×6
C=37.68
Rounding to the nearest hundredth, the circumference is 37.68 yards.
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The rate of change of y is proportional to y. when x=0, y=4 and when x=3, y=10 then the value of y is 12 when x =6.
The two points from the given information are (0, 4) and (3, 10).
Let us find the
=6/3
=2
Now let us find the y intercept to write the equation in slope intercept form.
Consider the point (0, 4) to find y intercept.
Plug in the point values in slope intercept form:
4=2(0)+b
Solve for b:
b=4
The equation in slope intercept form is y=2x+4.
Now let us find the value of y when x=6.
Plug in x as 6 in the equation y=2x+4.
y=2(6)+4
y=12+4
y=16
Hence, the value of y is 16 when x is 6.
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We know x+y=0; so, if x=6 y= -6